Name: __________________________ ​Covering and Surrounding Unit Test Study Guide Key Words area
base of a two-dimensional figure base of a three-dimensional figure
coordinates edge
equilateral triangle face
formula height of a two-dimensional figure
height of a three-dimensional figure isosceles triangle
length of a two-dimensional figure length of a three-dimensional figure
measurements of two-dimensional figures net
measurements of three-dimensional figures perimeter
perpendicular lines polygon
oblique prism prism
rectangular prism regular polygon
right angle right prism
scalene triangle surface area
unit cube vertex
volume width of a two-dimensional figure
width of a three-dimensional figure x-coordinate
y-coordinate Concepts & Skills You will need to demonstrate … - Finding the area and perimeter of o rectangles, (A=lw [length x width] P = 2(l+w) or P = l + l + w + w) o parallelograms, (A=bh [base x height] P = sum of all four side lengths) o triangles (A=bh÷2 P=sum of all three side lengths) - Finding the area and perimeter of polygons which can be broken into rectangles, and triangles - Finding the surface area of rectangular and triangular prisms - Finding the volume of rectangular prisms V=l w h - Using nets to find surface area of rectangular prisms. - Determining the three dimensional shape represented by a net. - Using perimeter, area, surface area, and volume to solve problems. Work on practice problems on the back. Practice Problems Find the area and perimeter of the following polygons: 1. 2. 3. area_____________
perimeter_________
area______________
area_____________ perimeter__________ perimeter___________ Find the surface area and volume of each of the following rectangular prisms: 4.
5. surface area___________ volume________________
surface area_____________ volume__________________ 6. Draw the fold lines on the nets below so that each net will make a rectangular prism​. List the dimensions of the rectangular prism which could be made from each net above. These nets are made on
centimeter grid paper. Then find the volume and surface area of each rectangular prism. Prism A
Prism B
Surface area_____________
Surface Area_____________
Volume_________________
Volume_________________
Dimensions______________
Dimensions______________
7. Find the volume of a rectangular prism which has the following dimensions:
L – 9 meters
W- 11 meters
H – 12 meters
8. Find the surface area of the triangular prism’s net
below:
9. Find the surface area of the triangular prism
represented by the net drawing below:
10. Galantis used cardboard to make mats for his photos. The photos were 4 inches by 6 inches. How much
cardboard is showing for this mat?